answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inessa05 [86]
2 years ago
5

There are slips of paper that are numbered from 1 to 15 in a hat. What is the theoretical probability that a slip of paper that

is chosen will be an even number?
1/15
7/15
1/2
8/15
Mathematics
2 answers:
blsea [12.9K]2 years ago
8 0
Okay! Let's write out all the numbers: 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15

Now, let's bold (or you can circle them... or do really anything to them as long as they are standing out to you) the even numbers (remember all even numbers are divisible by 2)

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15

Now let's list all the ones we highlighted: 
2
4
6
8
10
12
14

Count up how many numbers that is. 
You should get 7. 

So, our answer is 7 out of 15 numbers. 
Or as a fraction: 

7/15 is our answer.

Note: A probability is the number of chances something has to happen out of the total number of chances. So in this case the number of even numbers out of the total number of numbers. You can apply this to any probability problem. Hope this helps!

DochEvi [55]2 years ago
6 0
There are 7 even numbers between 1 and 15 so the answer will be 7/15

Hope this helps :)
You might be interested in
This year, a baseball player made 92 hits out of 564 times at bat. Another player made 84 hits out of 634 times at bat. Did the
Advocard [28]
No , when you subtract 564-92= 472 & the other player has a average of 550
6 0
2 years ago
Read 2 more answers
In order to estimate the average electricity usage per month, a sample of 125 residential customers were selected, and the month
mr_godi [17]

Answer:

[895.05; 940.81]kWh

Step-by-step explanation:

Hello!

Be X: monthly electricity usage by a residential customer

X~N

σ²: 12100KWh²

To estimate the population mean using a 98% CI you have to use the following formula

[X[bar]±Z_{1-\alpha /2} * \frac{Sigma}{\sqrt{n} }]

1-α: 0.98

α0.02

α/2: 0.01

1-α/2:0.99

Z_{1-\alpha /2}= Z_{0.99}= 2.326

n= 125

X[bar]= ∑X/n= 228565/125= 917.93

[917.93±2.326 * \frac{110}{\sqrt{125} }]

[895.05; 940.81]

Using a 98% confidence level you'd expect that the interval [895.05; 940.81]kWh will include the average monthly electricity usage of residential customers.

I hope this helps!

Raw data:

Electric Usage

765

1139

714

687

1027

1109

749

799

911

631

975

717

1232

806

637

894

856

896

1272

1224

621

606

898

723

817

746

933

595

851

1027

770

685

750

1198

975

678

1050

886

826

1176

583

841

1188

692

733

791

584

1163

593

1234

603

1044

1233

1178

598

904

778

693

590

845

893

1028

975

788

1240

1253

854

1185

1164

741

1058

1053

795

1198

1240

1140

959

938

1008

1035

1085

1100

680

1006

977

1042

1252

943

1165

1014

912

791

612

935

864

953

667

1005

1063

1095

1086

810

1032

970

1099

1229

892

1074

579

754

1007

1116

583

763

1231

966

962

1132

738

1033

697

891

840

725

1031

7 0
2 years ago
Ross purchases 3 cookbooks for $18.89 each, a set of measuring cups for $2.68, 4 kitchen utensils for $5.35 each and a cooling r
Inga [223]

Answer:

C. Ross has been overcharged by $3.75 for his purchase.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
the number of calories consumed at snack varies directly with the number of cookies eaten. if mandy eats 3 cookies, she will con
Nostrana [21]

She will consume 400 calories if she eats 5 cookies.


3 cookies = 240 cal.

In order to solve for 5 cal. you need to find the unit rate first, divide both numbers by 3

3/3 = 1 

240/3 = 80

Now we know that 1 cookie = 80 cal.


5 cookies;

80 * 5 = 400 cal.

4 0
2 years ago
The 10th term in the sequence is 2560 what is the 11th term in the sequence
joja [24]

Full Question:

The 4th term of a g.p. is 40 and the 10th term in the sequence is 2560, what is the 11th term in the sequence ?

Answer:

the 11 the term is 5120

Step-by-step explanation:

Given

Geometry Progression

4th term = 40

10th term = 2560

Required

11 term.

The nth term of a geometric sequence is calculated as follows

Tₙ = arⁿ⁻¹

For the 4th term, n = 4 and Tₙ = 40

Substitute these in the given formula; this gives

40 = ar⁴⁻¹

40 = ar³. --;; equation 1

For the 10th term, n = 10 and Tₙ = 2560

Substitute these in the given formula; this gives

2560 = ar¹⁰⁻¹

2560 = ar⁹. --;; equation 2

Divide equation 2 by 1. This gives

2560/40 = ar⁹/ar³

64 = r⁹/r³

From laws of indices

64 = r⁹⁻³

64 = r⁶

Find 6th root of both sides

(64)^1/6 = r

r = (2⁶)^1/6

r = 2

Substitute r = 2 in equation 1

40 = ar³. Becomes

40 = a * 2³

40 = a * 8

40 = 8a

Divide both sides by 8

40/8 = 8a/8

5 = a

a = 5.

Now, the 11 term can be solved using Tₙ = arⁿ⁻¹ where n = 11

So,

Tₙ = arⁿ⁻¹ becomes

Tₙ = 5 * 2¹¹⁻¹

Tₙ = 5 * 2¹¹⁻¹

Tₙ = 5 * 2¹⁰

Tₙ = 5 * 1024

Tₙ = 5120.

Henxe, the 11 the term is 5120

5 0
2 years ago
Other questions:
  • Write a number that is greater than 4.508 but less than 4.512
    15·2 answers
  • The sixth grade is charging $9 per car to wash cars. The fifth grade is charging $8.50 per car. Suppose each grade washes 50 car
    15·1 answer
  • A right rectangular prism and an oblique triangular prism are both 12 centimeters tall and have the same volume. What Statement
    15·1 answer
  • Three interior angles of a quadrilateral measure 55, 117 and 120 degrees. What is the measure of the fourth interior angle?
    5·1 answer
  • Yi is running for class president. To try to predict how people will vote, she wants to take a poll with a 90% confidence level
    9·2 answers
  • What is the sum of the first ten terms of the sequence 4, -12, 36, -144 ...?
    10·1 answer
  • Orin solved an equation and justified his steps as shown in the table.
    5·1 answer
  • Given the vectors, a=3i+4j, b=-2i+5j, c=10i-j, d=-1/3i+5/2j, find -0.4a-0.3b+0.2d=?
    14·1 answer
  • Which number line represents the solution set for the inequality 3x < –9? A number line from negative 4 to 4 in increments of
    10·2 answers
  • Nate has $50 to spend at the grocery store. he fills his shopping cart with items totaling $46 at checkout he willhave to pay 6%
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!